39.sagews

a=8;
b=7;
c=1;
d=4;

x=var(x);
a,b,c,d=var('a,b,c,d');

S=(x/2)*(sqrt(a^2 - ((x^2-b^2+a^2)/(2*x))^2)+sqrt(d^2 - ((x^2-c^2+d^2)/(2*x))^2))

print S;

2 2 2 2 2 2 2 2 2 (x + d - c ) 2 (x - b + a ) x (sqrt(d - ---------------) + sqrt(a - ---------------)) 2 2 4 x 4 x ----------------------------------------------------------- 2

a=8;
b=7;
c=1;
d=4;

def plotas(x):
  return ((x/2)*(sqrt(a^2 - ((x^2-b^2+a^2)/(2*x))^2)+sqrt(d^2 - ((x^2-c^2+d^2)/(2*x))^2)) );

G = plot(plotas, 0, 10, thickness=5, rgbcolor=(0.5,1,0.5));

verbose 0 (3585: plot.py, _plot) WARNING: When plotting, failed to evaluate function at 320 points. verbose 0 (3585: plot.py, _plot) Last error message: 'math domain error'

G.show();

a=8;
b=4;
c=1;
d=7;

def plotas(x):
  return ((x/2)*(sqrt(a^2 - ((x^2-b^2+a^2)/(2*x))^2)+sqrt(d^2 - ((x^2-c^2+d^2)/(2*x))^2)) );

G = plot(plotas, 0, 10, thickness=5, rgbcolor=(1,0.5,0.5));

verbose 0 (3585: plot.py, _plot) WARNING: When plotting, failed to evaluate function at 320 points. verbose 0 (3585: plot.py, _plot) Last error message: 'math domain error'

G.show();

a=8;
b=1;
c=4;
d=7;

def plotas(x):
  return ((x/2)*(sqrt(a^2 - ((x^2-b^2+a^2)/(2*x))^2)+sqrt(d^2 - ((x^2-c^2+d^2)/(2*x))^2)) );

G = plot(plotas, 0, 10, thickness=5, rgbcolor=(0.5,0.5,1));

verbose 0 (3585: plot.py, _plot) WARNING: When plotting, failed to evaluate function at 320 points. verbose 0 (3585: plot.py, _plot) Last error message: 'math domain error'

G.show();